Pith Number

pith:HVSZBVHM

pith:2012:HVSZBVHMAEKSFRDYQEGIZED72R

not attested not anchored not stored refs pending

Spectrum of Cayley graphs on the symmetric group generated by transpositions

Bojan Mohar, Roi Krakovski

arxiv:1201.2167 v2 · 2012-01-10 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVSZBVHMAEKSFRDYQEGIZED72R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:56:46.043927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6590d4ec011522c478810c8c907fd463e46a35847fd824dc5d75bf236967c2

Aliases

arxiv: 1201.2167 · arxiv_version: 1201.2167v2 · doi: 10.48550/arxiv.1201.2167 · pith_short_12: HVSZBVHMAEKS · pith_short_16: HVSZBVHMAEKSFRDY · pith_short_8: HVSZBVHM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HVSZBVHMAEKSFRDYQEGIZED72R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3d6590d4ec011522c478810c8c907fd463e46a35847fd824dc5d75bf236967c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603ee3a8f8baa6fcc144c3eaf15741b74d147882da5564076d6f6a8427a6c646",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-10T20:35:09Z",
    "title_canon_sha256": "51fd95ba4320afd196fb91ecc10ab29ef4fcb0d85b9996351b7ba55b1d1b5d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2167",
    "kind": "arxiv",
    "version": 2
  }
}